Not the park, but central LI in some January's with "poor starts" (note that the 1.3" on 1/31 /21 was the start of a 17" snowfall)::
J A N
J A N
J A N
J A N
Day
2005
2015
2016
2021
1
0.0
0.0
0.0
T
2
0.0
0.0
0.0
0.0
3
0.0
T
0.0
T
4
0.0
0.0
T
T
5
0.2
0.0
T
0.0
6
0.1
0.5
0.0
0.0
7
0.0
T
0.0
0.0
8
T
0.0
0.0
0.0
9
0.0
1.7
0.0
0.0
10
0.0
0.0
0.0
0.0
11
0.2
0.0
0.0
0.0
12
0.0
0.0
T
0.0
13
0.0
0.0
0.0
0.0
14
T
T
T
0.0
15
0.0
0.0
0.0
0.0
16
0.1
0.0
0.0
0.0
17
2.5
0.0
0.9
0.0
18
0.0
0.0
T
0.0
19
3.1
0.0
0.0
0.0
20
0.1
0.0
0.0
0.2
21
0.0
T
0.0
0.0
22
11.4
T
T
0.0
23
3.0
0.0
17.0
0.0
24
T
4.0
0.5
0.0
25
0.0
0.0
0.0
0.0
26
1.0
5.0
0.0
0.3
27
0.1
10.0
0.0
T
28
0.0
T
T
0.0
29
0.0
0.0
0.0
0.0
30
0.1
0.8
0.0
0.0
31
0.0
0.0
0.0
1.3
Total thru 1/15
0.5
2.2
0.0
0.0
Total for January
21.9
22.0
18.4
1.8
Max Daily
11.4
10.0
17.0
1.3
Footnote: Snowfall here this month through January 12 is 1.1" (ahead of 2005, 2016, and 2021). I think that the big snowstorms spawned those months were all Miller B's, even 2016.